The star, who disappeared in June, posted a long apology on social media.
Ms Fan, who is one of China’s highest paid actors, will escape criminal charges if the fines are paid on time, said state news agency Xinhua.
The actress had been linked to a government probe into how celebrities reported earnings in their contracts.
Some film stars were alleged to have used so-called “yin-yang contracts” – a practice where one contract sets out an actor’s real earnings, and another details a lower figure, with the latter submitted to the tax authorities.
Authorities have now ordered Ms Fan and the companies she controls to pay the huge sum in taxes, fines and penalties.
The 37-year-old actress, who appeared in the X-Men and Iron Man film franchises, disappeared from public view in June and her whereabouts has been the subject of intense speculation. Her current location is unknown but she reports say she has been held in secret detention.
On Wednesday, the star posted an open apology to her million of fans on her Weibo account saying: “I’ve been suffering unprecedented pain recently… I’m so ashamed of what I’ve done. Here, I sincerely apologize to everyone.”
“I completely accept all the penalty decisions made according to law, after the investigation done by tax authorities. I will follow the order, try my best to overcome difficulties, raise fund, pay taxes and fines.”
She also praised the ruling Chinese Communist Party in her statement.
Ms Fan’s agent has been detained by the police for further investigation. Her studio had previously said the star never signed “yin-yang” contracts.
Ms Fan is a household name in China and has had roles in several Hollywood blockbusters
Ms Fan was the latest high profile figure outside of politics in China to disappear from view over allegations of corruption or tax evasion.
The actress is one of China’s most influential celebrities and last year topped Forbes magazine’s list of top Chinese celebrities with income of around 300 million yuan ($43m).